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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 83790w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 83790.b1 | 83790w1 | \([1, -1, 0, -47597635395, -4017746152775979]\) | \(-2837709913983947389297630321/17162337388800000000000\) | \(-72125408151401597395200000000000\) | \([]\) | \(457416960\) | \(4.9524\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83790w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 83790w do not have complex multiplication.Modular form 83790.2.a.w
sage: E.q_eigenform(10)